Least Common Multiple of 362/53, 300/3021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/53, 300/3021 quickly i.e. 54300/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/53, 300/3021 is 54300/53.

LCM(362/53, 300/3021) = 54300/53

LCM of 362/53, 300/3021

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 362/53,300/3021

Given numbers are 362/53,300/3021

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 362,300

Least Common Multiple of Numerators i.e. LCM of 362,300 is 54300.

GCF of Denominators means GCF of 53,3021 as per the given fractions.

GCF of 53,3021 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,300

LCM of Fractions 362/53,300/3021 is 54300/53

2 362, 300
181, 150

∴ So the LCM of the given numbers is 2 x 181 x 150 = 54300

Least Common Multiple of 362,300 with GCF Formula

Least Common Multiple of 362,300 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 362,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,300) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(362,300) x common factors =2 x 1 = 2

LCM(362,300) = ( 362 × 300 ) / 2

LCM(362,300) = 108600 / 2

LCM(362,300) = 54300


Lets's calculate GCF of 53,3021

53 53, 3021
1, 57

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54300/53

Therefore the LCM of Fractions 362/53,300/3021 is 54300/53

Greatest Common Factor of 53,3021 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,3021 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 3021

List of positive integer factors of 3021 that divides 3021 without a remainder.

1,3,19,53,57,159,1007,3021

Greatest Common Factor

We found the factors 53,3021 . The biggest common factor number is the GCF number.
So the greatest common factor 53,3021 is 53.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 362/53, 300/3021

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 362/53, 300/3021?

Answer: LCM of Numerators as per given numbers 362/53, 300/3021 is

LCM of Numerators i.e. for 362,300 is 54300

GCF of denominators i.e. for 53,3021 is 53.

Thus, LCM of Fractions is 54300/53.Finally, LCM of Fractions for 362/53, 300/3021 is 54300/53.